18738654449760 has 3072 divisors, whose sum is σ = 83298204057600. Its totient is φ = 3888378224640.

The previous prime is 18738654449729. The next prime is 18738654449761. The reversal of 18738654449760 is 6794445683781.

18738654449760 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 8 + 6 + 544 + 4 + 9 + 76 + 0 = 666.

It is a super-2 number, since 2×18738654449760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18738654449761) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 175127611627 + ... + 175127611733.

It is an arithmetic number, because the mean of its divisors is an integer number (27115300800).

Almost surely, 2^{18738654449760} is an apocalyptic number.

18738654449760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18738654449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41649102028800).

18738654449760 is an abundant number, since it is smaller than the sum of its proper divisors (64559549607840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18738654449760 is a wasteful number, since it uses less digits than its factorization.

18738654449760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 18738654449760 in words is "eighteen trillion, seven hundred thirty-eight billion, six hundred fifty-four million, four hundred forty-nine thousand, seven hundred sixty".